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46490477148 = 2235223214483
BaseRepresentation
bin101011010011000011…
…000110001001011100
311110000000000221100000
4223103003012021130
51230203030232043
633205112134300
73234035351463
oct532303061134
9143000027300
1046490477148
1118797731645
129015697390
1344cb94aa9b
1423705b39da
1513217062d3
hexad30c625c

46490477148 has 72 divisors (see below), whose sum is σ = 122417171968. Its totient is φ = 15427261296.

The previous prime is 46490477087. The next prime is 46490477149. The reversal of 46490477148 is 84177409464.

46490477148 is a `hidden beast` number, since 4 + 6 + 490 + 4 + 7 + 7 + 148 = 666.

It is a super-2 number, since 2×464904771482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 46490477094 and 46490477103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46490477149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109515 + ... + 323997.

Almost surely, 246490477148 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 46490477148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61208585984).

46490477148 is an abundant number, since it is smaller than the sum of its proper divisors (75926694820).

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

46490477148 is a wasteful number, since it uses less digits than its factorization.

46490477148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214725 (or 214711 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 46490477148 in words is "forty-six billion, four hundred ninety million, four hundred seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 243 324 446 486 669 892 972 1338 2007 2676 4014 6021 8028 12042 18063 24084 36126 54189 72252 108378 214483 216756 428966 643449 857932 1286898 1930347 2573796 3860694 5791041 7721388 11582082 17373123 23164164 34746246 47829709 52119369 69492492 95659418 104238738 143489127 191318836 208477476 286978254 430467381 573956508 860934762 1291402143 1721869524 2582804286 3874206429 5165608572 7748412858 11622619287 15496825716 23245238574 46490477148