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78505013552 = 247311371511093
BaseRepresentation
bin100100100011101000…
…0110111000100110000
321111122011000220010112
41021013100313010300
52241234240413202
6100021550520452
75446266414350
oct1110720670460
9244564026115
1078505013552
1130326040699
121326b206128
1375314a9854
143b2a3bcb60
152097114b52
hex1247437130

78505013552 has 160 divisors (see below), whose sum is σ = 182113296384. Its totient is φ = 32078592000.

The previous prime is 78505013533. The next prime is 78505013611. The reversal of 78505013552 is 25531050587.

It is a super-3 number, since 3×785050135523 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71824718 + ... + 71825810.

Almost surely, 278505013552 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 78505013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056648192).

78505013552 is an abundant number, since it is smaller than the sum of its proper divisors (103608282832).

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

78505013552 is a wasteful number, since it uses less digits than its factorization.

78505013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 41.

The spelling of 78505013552 in words is "seventy-eight billion, five hundred five million, thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 137 151 217 248 274 302 434 496 548 604 868 959 1057 1093 1096 1208 1736 1918 2114 2186 2192 2416 3472 3836 4228 4247 4372 4681 7651 7672 8456 8494 8744 9362 15302 15344 16912 16988 17488 18724 20687 29729 30604 32767 33883 33976 37448 41374 59458 61208 65534 67766 67952 74896 82748 118916 122416 131068 135532 144809 149741 165043 165496 237181 237832 262136 271064 289618 299482 330086 330992 474362 475664 524272 542128 579236 598964 641297 660172 948724 1048187 1155301 1158472 1197928 1282594 1320344 1897448 2096374 2310602 2316944 2395856 2565188 2640688 3794896 4192748 4489079 4621204 4641971 5116333 5130376 8385496 8978158 9242408 9283942 10232666 10260752 16770992 17956316 18484816 18567884 20465332 22610891 32493797 35814331 35912632 37135768 40930664 45221782 64987594 71628662 71825264 74271536 81861328 90443564 129975188 143257324 158276237 180887128 259950376 286514648 316552474 361774256 519900752 573029296 633104948 700937621 1266209896 1401875242 2532419792 2803750484 4906563347 5607500968 9813126694 11215001936 19626253388 39252506776 78505013552