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46467121152 = 219331953
BaseRepresentation
bin101011010001101010…
…000000000000000000
311102221101002022221010
4223101222000000000
51230131040334102
633202515400520
73233333004264
oct532152000000
9142841068833
1046467121152
1118785529971
1290098b3140
1344c6b60c7a
14236b4540a4
15131e640d6c
hexad1a80000

46467121152 has 160 divisors (see below), whose sum is σ = 128043590400. Its totient is φ = 14973665280.

The previous prime is 46467121133. The next prime is 46467121163. The reversal of 46467121152 is 25112176464.

It is a self number, because there is not a number n which added to its sum of digits gives 46467121152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48758308 + ... + 48759260.

It is an arithmetic number, because the mean of its divisors is an integer number (800272440).

Almost surely, 246467121152 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 46467121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64021795200).

46467121152 is an abundant number, since it is smaller than the sum of its proper divisors (81576469248).

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

46467121152 is an frugal number, since it uses more digits than its factorization.

46467121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 989 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 46467121152 in words is "forty-six billion, four hundred sixty-seven million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 953 992 1024 1488 1536 1906 1984 2048 2859 2976 3072 3812 3968 4096 5718 5952 6144 7624 7936 8192 11436 11904 12288 15248 15872 16384 22872 23808 24576 29543 30496 31744 32768 45744 47616 49152 59086 60992 63488 65536 88629 91488 95232 98304 118172 121984 126976 131072 177258 182976 190464 196608 236344 243968 253952 262144 354516 365952 380928 393216 472688 487936 507904 524288 709032 731904 761856 786432 945376 975872 1015808 1418064 1463808 1523712 1572864 1890752 1951744 2031616 2836128 2927616 3047424 3781504 3903488 4063232 5672256 5855232 6094848 7563008 7806976 8126464 11344512 11710464 12189696 15126016 15613952 16252928 22689024 23420928 24379392 30252032 31227904 45378048 46841856 48758784 60504064 62455808 90756096 93683712 121008128 124911616 181512192 187367424 242016256 249823232 363024384 374734848 484032512 499646464 726048768 749469696 968065024 1452097536 1498939392 1936130048 2904195072 3872260096 5808390144 7744520192 11616780288 15489040384 23233560576 46467121152