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5036070122784 = 253283809260419
BaseRepresentation
bin100100101001000110100…
…1010111011010100100000
3122211102222101102012211200
41021102031022323110200
51130002332422412114
614413312204241200
71026562340514021
oct111221512732440
918742871365750
105036070122784
111671870326698
12694035840200
132a6b8cc0779c
14135a66054c48
158aeee1d5409
hex4948d2bb520

5036070122784 has 144 divisors (see below), whose sum is σ = 14511841999200. Its totient is φ = 1656408480768.

The previous prime is 5036070122669. The next prime is 5036070122843. The reversal of 5036070122784 is 4872210706305.

5036070122784 is a `hidden beast` number, since 5 + 0 + 3 + 607 + 0 + 12 + 27 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19208127 + ... + 19468545.

It is an arithmetic number, because the mean of its divisors is an integer number (100776680550).

Almost surely, 25036070122784 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 5036070122784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255920999600).

5036070122784 is an abundant number, since it is smaller than the sum of its proper divisors (9475771876416).

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

5036070122784 is a wasteful number, since it uses less digits than its factorization.

5036070122784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261327 (or 261316 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 5036070122784 in words is "five trillion, thirty-six billion, seventy million, one hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 809 996 1328 1494 1618 1992 2427 2656 2988 3236 3984 4854 5976 6472 7281 7968 9708 11952 12944 14562 19416 23904 25888 29124 38832 58248 67147 77664 116496 134294 201441 232992 260419 268588 402882 520838 537176 604323 781257 805764 1041676 1074352 1208646 1562514 1611528 2083352 2148704 2343771 2417292 3125028 3223056 4166704 4687542 4834584 6250056 6446112 8333408 9375084 9669168 12500112 18750168 19338336 21614777 25000224 37500336 43229554 64844331 75000672 86459108 129688662 172918216 194532993 210678971 259377324 345836432 389065986 421357942 518754648 632036913 691672864 778131972 842715884 1037509296 1264073826 1556263944 1685431768 1896110739 2075018592 2528147652 3112527888 3370863536 3792221478 5056295304 6225055776 6741727072 7584442956 10112590608 15168885912 17486354593 20225181216 30337771824 34972709186 52459063779 60675543648 69945418372 104918127558 139890836744 157377191337 209836255116 279781673488 314754382674 419672510232 559563346976 629508765348 839345020464 1259017530696 1678690040928 2518035061392 5036070122784