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193730261904 = 24324328532
BaseRepresentation
bin1011010001101100111…
…0010011001110010000
3200112001101122222201100
42310123032103032100
511133224421340104
6224555355504400
716665550025124
oct2643316231620
9615041588640
10193730261904
1175184756173
1231667a58100
13153653bc88a
14953b539584
15508cd09139
hex2d1b393390

193730261904 has 135 divisors (see below), whose sum is σ = 555729124977. Its totient is φ = 63001024128.

The previous prime is 193730261863. The next prime is 193730261927. The reversal of 193730261904 is 409162037391.

The square root of 193730261904 is 440148.

It is a perfect power (a square), and thus also a powerful number.

193730261904 is a `hidden beast` number, since 19 + 373 + 0 + 261 + 9 + 0 + 4 = 666.

193730261904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11189408400 + 182540853504 = 105780^2 + 427248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 193730261904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227115942 + ... + 227116794.

Almost surely, 2193730261904 is an apocalyptic number.

193730261904 is the 440148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193730261904

193730261904 is an abundant number, since it is smaller than the sum of its proper divisors (361998863073).

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

193730261904 is an frugal number, since it uses more digits than its factorization.

193730261904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 193730261904 in words is "one hundred ninety-three billion, seven hundred thirty million, two hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 853 1032 1548 1706 1849 2064 2559 3096 3412 3698 5118 5547 6192 6824 7396 7677 10236 11094 13648 14792 15354 16641 20472 22188 29584 30708 33282 36679 40944 44376 61416 66564 73358 88752 110037 122832 133128 146716 220074 266256 293432 330111 440148 586864 660222 727609 880296 1320444 1455218 1577197 1760592 2182827 2640888 2910436 3154394 4365654 4731591 5281776 5820872 6308788 6548481 8731308 9463182 11641744 12617576 13096962 14194773 17462616 18926364 25235152 26193924 28389546 31287187 34925232 37852728 52387848 56779092 62574374 75705456 93861561 104775696 113558184 125148748 187723122 227116368 250297496 281584683 375446244 500594992 563169366 750892488 1126338732 1345349041 1501784976 2252677464 2690698082 4036047123 4505354928 5381396164 8072094246 10762792328 12108141369 16144188492 21525584656 24216282738 32288376984 48432565476 64576753968 96865130952 193730261904