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31053154640 = 2451967734177
BaseRepresentation
bin11100111010111010…
…011000100101010000
32222011010222200221112
4130322322120211100
51002044101422030
622133212512452
72146345313354
oct347272304520
988133880845
1031053154640
1112195772772
12602777b728
132c0b623521
141708271464
15c1b309a95
hex73ae98950

31053154640 has 160 divisors (see below), whose sum is σ = 78208149120. Its totient is φ = 11430346752.

The previous prime is 31053154637. The next prime is 31053154667. The reversal of 31053154640 is 4645135013.

It is a junction number, because it is equal to n+sod(n) for n = 31053154597 and 31053154606.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7432232 + ... + 7436408.

It is an arithmetic number, because the mean of its divisors is an integer number (488800932).

Almost surely, 231053154640 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 31053154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39104074560).

31053154640 is an abundant number, since it is smaller than the sum of its proper divisors (47154994480).

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

31053154640 is a wasteful number, since it uses less digits than its factorization.

31053154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 31053154640 its reverse (4645135013), we get a palindrome (35698289653).

The spelling of 31053154640 in words is "thirty-one billion, fifty-three million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 67 73 76 80 95 134 146 152 190 268 292 304 335 365 380 536 584 670 730 760 1072 1168 1273 1340 1387 1460 1520 2546 2680 2774 2920 4177 4891 5092 5360 5548 5840 6365 6935 8354 9782 10184 11096 12730 13870 16708 19564 20368 20885 22192 24455 25460 27740 33416 39128 41770 48910 50920 55480 66832 78256 79363 83540 92929 97820 101840 110960 158726 167080 185858 195640 279859 304921 317452 334160 371716 391280 396815 464645 559718 609842 634904 743432 793630 929290 1119436 1219684 1269808 1399295 1486864 1524605 1587260 1858580 2238872 2439368 2798590 3049210 3174520 3717160 4477744 4878736 5317321 5597180 5793499 6098420 6349040 7434320 10634642 11194360 11586998 12196840 20429707 21269284 22388720 23173996 24393680 26586605 28967495 40859414 42538568 46347992 53173210 57934990 81718828 85077136 92695984 102148535 106346420 115869980 163437656 204297070 212692840 231739960 326875312 388164433 408594140 425385680 463479920 776328866 817188280 1552657732 1634376560 1940822165 3105315464 3881644330 6210630928 7763288660 15526577320 31053154640