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106074524472 = 233747107125551
BaseRepresentation
bin110001011001010001…
…0001100101100111000
3101010210111221011021120
41202302202030230320
53214220034240342
6120421401105240
710443424403250
oct1426242145470
9333714834246
10106074524472
1140a93338264
1218684188220
13a00616c517
1451c3b0c960
152b5c693aec
hex18b288cb38

106074524472 has 128 divisors (see below), whose sum is σ = 312413552640. Its totient is φ = 29384726400.

The previous prime is 106074524461. The next prime is 106074524497. The reversal of 106074524472 is 274425470601.

It is a super-2 number, since 2×1060745244722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782097 + ... + 907647.

It is an arithmetic number, because the mean of its divisors is an integer number (2440730880).

Almost surely, 2106074524472 is an apocalyptic number.

106074524472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106074524472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156206776320).

106074524472 is an abundant number, since it is smaller than the sum of its proper divisors (206339028168).

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

106074524472 is a wasteful number, since it uses less digits than its factorization.

106074524472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125721 (or 125717 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 106074524472 in words is "one hundred six billion, seventy-four million, five hundred twenty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 107 141 168 188 214 282 321 329 376 428 564 642 658 749 856 987 1128 1284 1316 1498 1974 2247 2568 2632 2996 3948 4494 5029 5992 7896 8988 10058 15087 17976 20116 30174 35203 40232 60348 70406 105609 120696 125551 140812 211218 251102 281624 376653 422436 502204 753306 844872 878857 1004408 1506612 1757714 2636571 3013224 3515428 5273142 5900897 7030856 10546284 11801794 13433957 17702691 21092568 23603588 26867914 35405382 40301871 41306279 47207176 53735828 70810764 80603742 82612558 94037699 107471656 123918837 141621528 161207484 165225116 188075398 247837674 282113097 322414968 330450232 376150796 495675348 564226194 631395979 752301592 991350696 1128452388 1262791958 1894187937 2256904776 2525583916 3788375874 4419771853 5051167832 7576751748 8839543706 13259315559 15153503496 17679087412 26518631118 35358174824 53037262236 106074524472