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96570049140 = 223252011726669
BaseRepresentation
bin101100111110000000…
…1100000001001110100
3100020021010120210012200
41121330001200021310
53040233413033030
6112210315144500
76656044605525
oct1317401401164
9306233523180
1096570049140
1137a56303274
1216871145130
13915002b116
1449616d884c
1527a3067d60
hex167c060274

96570049140 has 72 divisors (see below), whose sum is σ = 292954694760. Its totient is φ = 25749767424.

The previous prime is 96570049109. The next prime is 96570049141. The reversal of 96570049140 is 4194007569.

96570049140 is a `hidden beast` number, since 96 + 5 + 70 + 0 + 491 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21952570896 + 74617478244 = 148164^2 + 273162^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96570049141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3607726 + ... + 3634394.

It is an arithmetic number, because the mean of its divisors is an integer number (4068815205).

Almost surely, 296570049140 is an apocalyptic number.

96570049140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96570049140 is an abundant number, since it is smaller than the sum of its proper divisors (196384645620).

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

96570049140 is a wasteful number, since it uses less digits than its factorization.

96570049140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46801 (or 46796 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 96570049140 in words is "ninety-six billion, five hundred seventy million, forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20117 26669 40234 53338 60351 80007 80468 100585 106676 120702 133345 160014 181053 201170 240021 241404 266690 301755 320028 362106 400035 402340 480042 533380 603510 724212 800070 905265 960084 1200105 1207020 1600140 1810530 2400210 3621060 4800420 536500273 1073000546 1609500819 2146001092 2682501365 3219001638 4828502457 5365002730 6438003276 8047504095 9657004914 10730005460 16095008190 19314009828 24142512285 32190016380 48285024570 96570049140