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46097223696 = 24323119875197
BaseRepresentation
bin101010111011100110…
…111101000000010000
311101222121001121000100
4222323212331000100
51223401342124241
633102103252400
73221221636116
oct527346750020
9141877047010
1046097223696
1118605754497
128b25a4a100
13446832c234
142334287ab6
1512ebe269b6
hexabb9bd010

46097223696 has 120 divisors (see below), whose sum is σ = 133262415104. Its totient is φ = 14859728640.

The previous prime is 46097223659. The next prime is 46097223709. The reversal of 46097223696 is 69632279064.

46097223696 is a `hidden beast` number, since 4 + 609 + 7 + 2 + 23 + 6 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8867370 + ... + 8872566.

Almost surely, 246097223696 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 46097223696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66631207552).

46097223696 is an abundant number, since it is smaller than the sum of its proper divisors (87165191408).

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

46097223696 is a wasteful number, since it uses less digits than its factorization.

46097223696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 46097223696 in words is "forty-six billion, ninety-seven million, two hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 1987 2232 3974 4464 5197 5961 7948 10394 11922 15591 15896 17883 20788 23844 31182 31792 35766 41576 46773 47688 61597 62364 71532 83152 93546 95376 123194 124728 143064 161107 184791 187092 246388 249456 286128 322214 369582 374184 483321 492776 554373 644428 739164 748368 966642 985552 1108746 1288856 1449963 1478328 1933284 2217492 2577712 2899926 2956656 3866568 4434984 5799852 7733136 8869968 10326439 11599704 20652878 23199408 30979317 41305756 61958634 82611512 92937951 123917268 165223024 185875902 247834536 320119609 371751804 495669072 640239218 743503608 960358827 1280478436 1487007216 1920717654 2560956872 2881076481 3841435308 5121913744 5762152962 7682870616 11524305924 15365741232 23048611848 46097223696