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106372070442 = 232111427376477
BaseRepresentation
bin110001100010001000…
…1001111110000101010
3101011120020211001121200
41203010101033300222
53220322222223232
6120511110345030
710453666452231
oct1430421176052
9334506731550
10106372070442
1141126295a20
121874795b176
13a0529bb321
145211443b18
152b7886a77c
hex18c444fc2a

106372070442 has 48 divisors (see below), whose sum is σ = 251601753312. Its totient is φ = 32211286560.

The previous prime is 106372070429. The next prime is 106372070449. The reversal of 106372070442 is 244070273601.

106372070442 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 207 + 0 + 442 = 666.

It is a super-2 number, since 2×1063720704422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106372070397 and 106372070406.

It is not an unprimeable number, because it can be changed into a prime (106372070449) 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, 94308 + ... + 470784.

It is an arithmetic number, because the mean of its divisors is an integer number (5241703194).

Almost surely, 2106372070442 is an apocalyptic number.

106372070442 is an abundant number, since it is smaller than the sum of its proper divisors (145229682870).

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

106372070442 is a wasteful number, since it uses less digits than its factorization.

106372070442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377923 (or 377920 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 106372070442 in words is "one hundred six billion, three hundred seventy-two million, seventy thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1427 2854 4281 8562 12843 15697 25686 31394 47091 94182 141273 282546 376477 752954 1129431 2258862 3388293 4141247 6776586 8282494 12423741 24847482 37271223 74542446 537232679 1074465358 1611698037 3223396074 4835094111 5909559469 9670188222 11819118938 17728678407 35457356814 53186035221 106372070442