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146029360568 = 23731329141161
BaseRepresentation
bin1000100000000000000…
…1110011010110111000
3111221221001000010112212
42020000001303112320
54343032004014233
6151030203554252
713356513041000
oct2100001632670
9457831003485
10146029360568
1156a26848a63
1224374b2b988
1310a02a6a980
1470d42c1000
153bea208a48
hex22000735b8

146029360568 has 128 divisors (see below), whose sum is σ = 355728240000. Its totient is φ = 55777397760.

The previous prime is 146029360541. The next prime is 146029360573. The reversal of 146029360568 is 865063920641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963908 + ... + 1105068.

It is an arithmetic number, because the mean of its divisors is an integer number (2779126875).

Almost surely, 2146029360568 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 146029360568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177864120000).

146029360568 is an abundant number, since it is smaller than the sum of its proper divisors (209698879432).

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

146029360568 is a wasteful number, since it uses less digits than its factorization.

146029360568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141230 (or 141212 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 146029360568 in words is "one hundred forty-six billion, twenty-nine million, three hundred sixty thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 182 196 203 232 343 364 377 392 406 637 686 728 754 812 1274 1372 1421 1508 1624 2548 2639 2744 2842 3016 4459 5096 5278 5684 8918 9947 10556 11368 17836 18473 19894 21112 35672 36946 39788 73892 79576 129311 141161 147784 258622 282322 517244 564644 988127 1034488 1129288 1835093 1976254 3670186 3952508 4093669 6916889 7340372 7905016 8187338 12845651 13833778 14680744 16374676 25691302 27667556 28655683 32749352 48418223 51382604 53217697 55335112 57311366 89919557 96836446 102765208 106435394 114622732 179839114 193672892 200589781 212870788 229245464 359678228 372523879 387345784 401179562 425741576 629436899 719356456 745047758 802359124 1258873798 1404128467 1490095516 1604718248 2517747596 2607667153 2808256934 2980191032 5035495192 5215334306 5616513868 10430668612 11233027736 18253670071 20861337224 36507340142 73014680284 146029360568