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34973162952 = 23371373219361
BaseRepresentation
bin100000100100100100…
…000001110111001000
310100021100011202102120
4200210210001313020
51033111112203302
624022204131240
72345444660130
oct404444016710
9110240152376
1034973162952
1113917490a62
126940536b20
1333b47b8580
14199ab21ac0
15d9a52d9bc
hex824901dc8

34973162952 has 128 divisors (see below), whose sum is σ = 109084335360. Its totient is φ = 9097297920.

The previous prime is 34973162951. The next prime is 34973162989. The reversal of 34973162952 is 25926137943.

It is a junction number, because it is equal to n+sod(n) for n = 34973162895 and 34973162904.

It is not an unprimeable number, because it can be changed into a prime (34973162951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49752 + ... + 269112.

It is an arithmetic number, because the mean of its divisors is an integer number (852221370).

Almost surely, 234973162952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34973162952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54542167680).

34973162952 is an abundant number, since it is smaller than the sum of its proper divisors (74111172408).

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

34973162952 is a wasteful number, since it uses less digits than its factorization.

34973162952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219463 (or 219459 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The spelling of 34973162952 in words is "thirty-four billion, nine hundred seventy-three million, one hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1533 1752 1898 2044 2184 2847 3066 3796 4088 5694 6132 6643 7592 11388 12264 13286 19929 22776 26572 39858 53144 79716 159432 219361 438722 658083 877444 1316166 1535527 1754888 2632332 2851693 3071054 4606581 5264664 5703386 6142108 8555079 9213162 11406772 12284216 16013353 17110158 18426324 19961851 22813544 32026706 34220316 36852648 39923702 48040059 59885553 64053412 68440632 79847404 96080118 112093471 119771106 128106824 159694808 192160236 208173589 224186942 239542212 336280413 384320472 416347178 448373884 479084424 624520767 672560826 832694356 896747768 1249041534 1345121652 1457215123 1665388712 2498083068 2690243304 2914430246 4371645369 4996166136 5828860492 8743290738 11657720984 17486581476 34973162952