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153164002488 = 23372354077331
BaseRepresentation
bin1000111010100101001…
…0010011010010111000
3112122100021002111022220
42032221102103102320
510002134441034423
6154210152044040
714031355353210
oct2165122232270
9478307074286
10153164002488
1159a580a5042
1225826393620
131159bc26193
1475ada89240
153eb676b9e3
hex23a94934b8

153164002488 has 128 divisors (see below), whose sum is σ = 456784773120. Its totient is φ = 41845034880.

The previous prime is 153164002447. The next prime is 153164002543. The reversal of 153164002488 is 884200461351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20888983 + ... + 20896313.

It is an arithmetic number, because the mean of its divisors is an integer number (3568631040).

Almost surely, 2153164002488 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 153164002488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228392386560).

153164002488 is an abundant number, since it is smaller than the sum of its proper divisors (303620770632).

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

153164002488 is a wasteful number, since it uses less digits than its factorization.

153164002488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 153164002488 in words is "one hundred fifty-three billion, one hundred sixty-four million, two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 5407 7331 10814 14662 16221 21628 21993 29324 32442 37849 43256 43986 51317 58648 64884 75698 87972 102634 113547 124361 129768 151396 153951 168613 175944 205268 227094 248722 302792 307902 337226 373083 410536 454188 497444 505839 615804 674452 746166 870527 908376 994888 1011678 1180291 1231608 1348904 1492332 1741054 2023356 2360582 2611581 2984664 3482108 3540873 4046712 4721164 5223162 6964216 7081746 9442328 10446324 14163492 20892648 28326984 39638717 79277434 118916151 158554868 237832302 277471019 317109736 475664604 554942038 832413057 911690491 951329208 1109884076 1664826114 1823380982 2219768152 2735071473 3329652228 3646761964 5470142946 6381833437 6659304456 7293523928 10940285892 12763666874 19145500311 21880571784 25527333748 38291000622 51054667496 76582001244 153164002488