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97656200960 = 285414873821
BaseRepresentation
bin101101011110011000…
…0110101111100000000
3100100001211101000101212
41122330300311330000
53044444441412320
6112510155145252
710025004004103
oct1327460657400
9310054330355
1097656200960
113846341a1aa
1216b14a45228
1392940707c6
144a25a7073a
1528185b59c5
hex16bcc35f00

97656200960 has 144 divisors (see below), whose sum is σ = 240177292992. Its totient is φ = 38021529600.

The previous prime is 97656200951. The next prime is 97656200981. The reversal of 97656200960 is 6900265679.

It is a junction number, because it is equal to n+sod(n) for n = 97656200899 and 97656200908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25555850 + ... + 25559670.

It is an arithmetic number, because the mean of its divisors is an integer number (1667897868).

Almost surely, 297656200960 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 97656200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120088646496).

97656200960 is an abundant number, since it is smaller than the sum of its proper divisors (142521092032).

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

97656200960 is a wasteful number, since it uses less digits than its factorization.

97656200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 97656200960 in words is "ninety-seven billion, six hundred fifty-six million, two hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 487 640 656 820 974 1280 1312 1640 1948 2435 2624 3280 3821 3896 4870 5248 6560 7642 7792 9740 10496 13120 15284 15584 19105 19480 19967 26240 30568 31168 38210 38960 39934 52480 61136 62336 76420 77920 79868 99835 122272 124672 152840 155840 156661 159736 199670 244544 305680 311680 313322 319472 399340 489088 611360 623360 626644 638944 783305 798680 978176 1222720 1253288 1277888 1566610 1597360 1860827 2445440 2506576 2555776 3133220 3194720 3721654 4890880 5013152 5111552 6266440 6389440 7443308 9304135 10026304 12532880 12778880 14886616 18608270 20052608 25065760 25557760 29773232 37216540 40105216 50131520 59546464 74433080 76293907 100263040 119092928 148866160 152587814 200526080 238185856 297732320 305175628 381469535 476371712 595464640 610351256 762939070 1190929280 1220702512 1525878140 2381858560 2441405024 3051756280 4882810048 6103512560 9765620096 12207025120 19531240192 24414050240 48828100480 97656200960