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46133056077152 = 25111952313189073
BaseRepresentation
bin10100111110101001100000…
…11010110111110101100000
320001100021110222221121120012
422133110300122313311200
522021320444323432102
6242041122224504052
712501001064413202
oct1237246032676540
9201307428847505
1046133056077152
1113776a12518650
125210a8b17b028
131c984369b8b55
14b56bcd5b6772
1555005ee87752
hex29f5306b7d60

46133056077152 has 96 divisors (see below), whose sum is σ = 104495450613120. Its totient is φ = 19827923281920.

The previous prime is 46133056077151. The next prime is 46133056077179. The reversal of 46133056077152 is 25177065033164.

It is a super-2 number, since 2×461330560771522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46133056077152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46133056077151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096713 + ... + 10092360.

It is an arithmetic number, because the mean of its divisors is an integer number (1088494277220).

Almost surely, 246133056077152 is an apocalyptic number.

It is an amenable number.

46133056077152 is an abundant number, since it is smaller than the sum of its proper divisors (58362394535968).

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

46133056077152 is a wasteful number, since it uses less digits than its factorization.

46133056077152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13189636 (or 13189628 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 46133056077152 in words is "forty-six trillion, one hundred thirty-three billion, fifty-six million, seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 523 608 836 1046 1672 2092 3344 4184 5753 6688 8368 9937 11506 16736 19874 23012 39748 46024 79496 92048 109307 158992 184096 218614 317984 437228 874456 1748912 3497824 13189073 26378146 52756292 105512584 145079803 211025168 250592387 290159606 422050336 501184774 580319212 1002369548 1160638424 2004739096 2321276848 2756516257 4009478192 4642553696 5513032514 6897885179 8018956384 11026065028 13795770358 22052130056 27591540716 44104260112 55183081432 75876736969 88208520224 110366162864 131059818401 151753473938 220732325728 262119636802 303506947876 524239273604 607013895752 1048478547208 1214027791504 1441658002411 2096957094416 2428055583008 2883316004822 4193914188832 5766632009644 11533264019288 23066528038576 46133056077152