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153404442396 = 223243241411197
BaseRepresentation
bin1000111011011110011…
…1100000011100011100
3112122222000112002212200
42032313213200130130
510003133014124041
6154250101331500
714040335150202
oct2166747403434
9478860462780
10153404442396
115a070899107
1225892a06b90
131160999c30a
1475d3997072
153ecc9131b6
hex23b79e071c

153404442396 has 72 divisors (see below), whose sum is σ = 398437703664. Its totient is φ = 49738268160.

The previous prime is 153404442343. The next prime is 153404442517. The reversal of 153404442396 is 693244404351.

153404442396 is a `hidden beast` number, since 1 + 5 + 3 + 404 + 4 + 4 + 239 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167470 + ... + 578666.

Almost surely, 2153404442396 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 153404442396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199218851832).

153404442396 is an abundant number, since it is smaller than the sum of its proper divisors (245033261268).

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

153404442396 is a wasteful number, since it uses less digits than its factorization.

153404442396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411491 (or 411486 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 153404442396 in words is "one hundred fifty-three billion, four hundred four million, four hundred forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 241 258 387 482 516 723 774 964 1446 1548 2169 2892 4338 8676 10363 20726 31089 41452 62178 93267 124356 186534 373068 411197 822394 1233591 1644788 2467182 3700773 4934364 7401546 14803092 17681471 35362942 53044413 70725884 99098477 106088826 159133239 198196954 212177652 297295431 318266478 396393908 594590862 636532956 891886293 1189181724 1783772586 3567545172 4261234511 8522469022 12783703533 17044938044 25567407066 38351110599 51134814132 76702221198 153404442396