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46697090976 = 253442142793
BaseRepresentation
bin101011011111010111…
…010000111110100000
311110112101211000020000
4223133113100332200
51231113423402401
633241412420000
73242124503244
oct533727207640
9143471730200
1046697090976
1118893321678
129072917600
1345326ac5a3
14238dbd8424
15133491a186
hexadf5d0fa0

46697090976 has 120 divisors (see below), whose sum is σ = 137664275364. Its totient is φ = 15528360960.

The previous prime is 46697090971. The next prime is 46697090981. The reversal of 46697090976 is 67909079664.

It is an interprime number because it is at equal distance from previous prime (46697090971) and next prime (46697090981).

It can be written as a sum of positive squares in 2 ways, for example, as 41298368400 + 5398722576 = 203220^2 + 73476^2 .

It is not an unprimeable number, because it can be changed into a prime (46697090971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1069836 + ... + 1112628.

Almost surely, 246697090976 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 46697090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68832137682).

46697090976 is an abundant number, since it is smaller than the sum of its proper divisors (90967184388).

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

46697090976 is a wasteful number, since it uses less digits than its factorization.

46697090976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43236 (or 43219 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 46697090976 in words is "forty-six billion, six hundred ninety-seven million, ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 421 432 648 842 864 1263 1296 1684 2526 2592 3368 3789 5052 6736 7578 10104 11367 13472 15156 20208 22734 30312 34101 40416 42793 45468 60624 68202 85586 90936 121248 128379 136404 171172 181872 256758 272808 342344 363744 385137 513516 545616 684688 770274 1027032 1091232 1155411 1369376 1540548 2054064 2310822 3081096 3466233 4108128 4621644 6162192 6932466 9243288 12324384 13864932 18015853 18486576 27729864 36031706 36973152 54047559 55459728 72063412 108095118 110919456 144126824 162142677 216190236 288253648 324285354 432380472 486428031 576507296 648570708 864760944 972856062 1297141416 1459284093 1729521888 1945712124 2594282832 2918568186 3891424248 5188565664 5837136372 7782848496 11674272744 15565696992 23348545488 46697090976