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45971946384 = 24371310996557
BaseRepresentation
bin101010110100001001…
…000011101110010000
311101122212022211211220
4222310021003232100
51223122304241014
633041430205040
73215141045130
oct526411035620
9141585284756
1045971946384
1118550a68821
128aabab3780
1344483a8250
142321796ac0
1512e0e2c6a9
hexab4243b90

45971946384 has 160 divisors (see below), whose sum is σ = 147509725440. Its totient is φ = 12013111296.

The previous prime is 45971946311. The next prime is 45971946389. The reversal of 45971946384 is 48364917954.

It is a super-2 number, since 2×459719463842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45971946389) 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, 427834 + ... + 524390.

It is an arithmetic number, because the mean of its divisors is an integer number (921935784).

Almost surely, 245971946384 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 45971946384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73754862720).

45971946384 is an abundant number, since it is smaller than the sum of its proper divisors (101537779056).

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

45971946384 is a wasteful number, since it uses less digits than its factorization.

45971946384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96697 (or 96691 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 45971946384 in words is "forty-five billion, nine hundred seventy-one million, nine hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 109 112 156 168 182 208 218 273 312 327 336 364 436 546 624 654 728 763 872 1092 1308 1417 1456 1526 1744 2184 2289 2616 2834 3052 4251 4368 4578 5232 5668 6104 8502 9156 9919 11336 12208 17004 18312 19838 22672 29757 34008 36624 39676 59514 68016 79352 96557 119028 158704 193114 238056 289671 386228 476112 579342 675899 772456 1158684 1255241 1351798 1544912 2027697 2317368 2510482 2703596 3765723 4055394 4634736 5020964 5407192 7531446 8110788 8786687 10041928 10524713 10814384 15062892 16221576 17573374 20083856 21049426 26360061 30125784 31574139 32443152 35146748 42098852 52720122 60251568 63148278 70293496 73672991 84197704 105440244 126296556 136821269 140586992 147345982 168395408 210880488 221018973 252593112 273642538 294691964 410463807 421760976 442037946 505186224 547285076 589383928 820927614 884075892 957748883 1094570152 1178767856 1641855228 1768151784 1915497766 2189140304 2873246649 3283710456 3536303568 3830995532 5746493298 6567420912 7661991064 11492986596 15323982128 22985973192 45971946384