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147354838696 = 231317374154941
BaseRepresentation
bin1000100100111100001…
…0000110011010101000
3112002100102010101201101
42021033002012122220
54403240314314241
6151405513331144
713434406314502
oct2111702063250
9462312111641
10147354838696
1157546a6832a
1224684a06ab4
1310b84556660
1471bc354d72
153c7677ce31
hex224f0866a8

147354838696 has 128 divisors (see below), whose sum is σ = 331458492960. Its totient is φ = 60759244800.

The previous prime is 147354838669. The next prime is 147354838721. The reversal of 147354838696 is 696838453741.

It can be written as a sum of positive squares in 16 ways, for example, as 30028037796 + 117326800900 = 173286^2 + 342530^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2654586 + ... + 2709526.

Almost surely, 2147354838696 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 147354838696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165729246480).

147354838696 is an abundant number, since it is smaller than the sum of its proper divisors (184103654264).

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

147354838696 is a wasteful number, since it uses less digits than its factorization.

147354838696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55055 (or 55051 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

The spelling of 147354838696 in words is "one hundred forty-seven billion, three hundred fifty-four million, eight hundred thirty-eight thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 17 26 34 37 41 52 68 74 82 104 136 148 164 221 296 328 442 481 533 629 697 884 962 1066 1258 1394 1517 1768 1924 2132 2516 2788 3034 3848 4264 5032 5576 6068 8177 9061 12136 16354 18122 19721 25789 32708 36244 39442 51578 54941 65416 72488 78884 103156 109882 157768 206312 219764 335257 439528 670514 714233 933997 1341028 1428466 1867994 2032817 2252581 2682056 2856932 3735988 4065634 4505162 5713864 7471976 8131268 9010324 12141961 16262536 18020648 24283922 26426621 29283553 34557889 38293877 48567844 52853242 58567106 69115778 76587754 83345497 97135688 105706484 117134212 138231556 153175508 166690994 211412968 234268424 276463112 306351016 333381988 449252557 497820401 666763976 898505114 995640802 1083491461 1416873449 1797010228 1991281604 2166982922 2833746898 3594020456 3982563208 4333965844 5667493796 8667931688 11334987592 18419354837 36838709674 73677419348 147354838696