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97677501156 = 22349721792
BaseRepresentation
bin101101011111000001…
…0000110001011100100
3100100010022110011210000
41122332002012023210
53100020420014111
6112512235501300
710025353026564
oct1327602061344
9310108404700
1097677501156
1138474448374
1216b1bbb7830
1392985ba981
144a28816da4
15281a3c1c56
hex16be0862e4

97677501156 has 135 divisors (see below), whose sum is σ = 259457314809. Its totient is φ = 32043485952.

The previous prime is 97677501143. The next prime is 97677501193. The reversal of 97677501156 is 65110577679.

The square root of 97677501156 is 312534.

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

It can be written as a sum of positive squares in only one way, i.e., 43860924900 + 53816576256 = 209430^2 + 231984^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 545684275 + ... + 545684453.

Almost surely, 297677501156 is an apocalyptic number.

97677501156 is the 312534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97677501156

97677501156 is an abundant number, since it is smaller than the sum of its proper divisors (161779813653).

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

97677501156 is an equidigital number, since it uses as much as digits as its factorization.

97677501156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 97677501156 in words is "ninety-seven billion, six hundred seventy-seven million, five hundred one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 179 194 291 324 358 388 537 582 716 873 1074 1164 1611 1746 2148 2619 3222 3492 4833 5238 6444 7857 9409 9666 10476 14499 15714 17363 18818 19332 28227 28998 31428 32041 34726 37636 52089 56454 57996 64082 69452 84681 96123 104178 112908 128164 156267 169362 192246 208356 254043 288369 312534 338724 384492 468801 508086 576738 625068 762129 865107 937602 1016172 1153476 1406403 1524258 1684211 1730214 1875204 2595321 2812806 3048516 3107977 3368422 3460428 5052633 5190642 5625612 6215954 6736844 9323931 10105266 10381284 12431908 15157899 18647862 20210532 27971793 30315798 37295724 45473697 55943586 60631596 83915379 90947394 111887172 136421091 167830758 181894788 251746137 272842182 301473769 335661516 503492274 545684364 602947538 904421307 1006984548 1205895076 1808842614 2713263921 3617685228 5426527842 8139791763 10853055684 16279583526 24419375289 32559167052 48838750578 97677501156