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133314022974 = 231131377392383
BaseRepresentation
bin111110000101000100…
…0101000111000111110
3110202002212212001111110
41330022020220320332
54141011342213344
6141124342102450
712426434332626
oct1741210507076
9422085761443
10133314022974
11515a13216a0
1221a0671aa26
13c757656882
146649695886
153703c863b9
hex1f0a228e3e

133314022974 has 128 divisors (see below), whose sum is σ = 308911472640. Its totient is φ = 37970985600.

The previous prime is 133314022951. The next prime is 133314022981. The reversal of 133314022974 is 479220413331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55942587 + ... + 55944969.

It is an arithmetic number, because the mean of its divisors is an integer number (2413370880).

Almost surely, 2133314022974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133314022974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154455736320).

133314022974 is an abundant number, since it is smaller than the sum of its proper divisors (175597449666).

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

133314022974 is a wasteful number, since it uses less digits than its factorization.

133314022974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206.

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 133314022974 in words is "one hundred thirty-three billion, three hundred fourteen million, twenty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 739 814 1023 1147 1221 1478 2046 2217 2294 2383 2442 3441 4434 4766 6882 7149 8129 12617 14298 16258 22909 24387 25234 26213 27343 37851 45818 48774 52426 54686 68727 73873 75702 78639 82029 88171 137454 147746 157278 164058 176342 221619 251999 264513 300773 443238 503998 529026 601546 755997 812603 847633 902319 969881 1511994 1625206 1695266 1761037 1804638 1939762 2437809 2542899 2733301 2909643 3522074 4875618 5085798 5283111 5466602 5819286 8199903 9323963 10566222 16399806 18647926 19371407 27971889 30066311 38742814 54592147 55943778 58114221 60132622 65158369 90198933 109184294 116228442 130316738 163776441 180397866 195475107 327552882 390950214 600513617 716742059 1201027234 1433484118 1801540851 2019909439 2150226177 3603081702 4039818878 4300452354 6059728317 12119456634 22219003829 44438007658 66657011487 133314022974