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153434163031020 = 2232573101115612643
BaseRepresentation
bin100010111000110000101100…
…110010001010101111101100
3202010021011101122002020012200
4202320300230302022233230
5130102331131213443040
61302154403104101500
744214152410656144
oct4270605462125754
9663234348066180
10153434163031020
1144986077013173
121526069a904890
13677ca19702bb1
1429c6378791924
1512b12948c1630
hex8b8c2cc8abec

153434163031020 has 144 divisors (see below), whose sum is σ = 476463753353952. Its totient is φ = 39955729075200.

The previous prime is 153434163030971. The next prime is 153434163031069. The reversal of 153434163031020 is 20130361434351.

153434163031020 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 3 + 4 + 1 + 630 + 3 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153434163030971) and next prime (153434163031069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56479182 + ... + 59133461.

It is an arithmetic number, because the mean of its divisors is an integer number (3308776064958).

Almost surely, 2153434163031020 is an apocalyptic number.

153434163031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153434163031020 is an abundant number, since it is smaller than the sum of its proper divisors (323029590322932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153434163031020 is a wasteful number, since it uses less digits than its factorization.

153434163031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115612832 (or 115612827 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 153434163031020 in words is "one hundred fifty-three trillion, four hundred thirty-four billion, one hundred sixty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 101 146 180 202 219 292 303 365 404 438 505 606 657 730 876 909 1010 1095 1212 1314 1460 1515 1818 2020 2190 2628 3030 3285 3636 4380 4545 6060 6570 7373 9090 13140 14746 18180 22119 29492 36865 44238 66357 73730 88476 110595 132714 147460 221190 265428 331785 442380 663570 1327140 115612643 231225286 346837929 462450572 578063215 693675858 1040513787 1156126430 1387351716 1734189645 2081027574 2312252860 3468379290 4162055148 5202568935 6936758580 8439722939 10405137870 11676876943 16879445878 20810275740 23353753886 25319168817 33758891756 35030630829 42198614695 46707507772 50638337634 58384384715 70061261658 75957506451 84397229390 101276675268 105091892487 116768769430 126595844085 140122523316 151915012902 168794458780 175153154145 210183784974 233537538860 253191688170 303830025804 350306308290 379787532255 420367569948 506383376340 525459462435 700612616580 759575064510 852412016839 1050918924870 1519150129020 1704824033678 2101837849740 2557236050517 3409648067356 4262060084195 5114472101034 7671708151551 8524120168390 10228944202068 12786180252585 15343416303102 17048240336780 25572360505170 30686832606204 38358540757755 51144721010340 76717081515510 153434163031020