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107193493746 = 2341394760347
BaseRepresentation
bin110001111010100111…
…0101110100011110010
3101020200111110200120000
41203311032232203302
53224013013244441
6121124412330430
710513232443323
oct1436516564362
9336614420500
10107193493746
1141507a29459
1218936a73a16
13a153c32411
14528c58844a
152bc5a252b6
hex18f53ae8f2

107193493746 has 40 divisors (see below), whose sum is σ = 241920885360. Its totient is φ = 35474098392.

The previous prime is 107193493739. The next prime is 107193493753. The reversal of 107193493746 is 647394391701.

107193493746 is a `hidden beast` number, since 10 + 71 + 9 + 3 + 493 + 74 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (107193493739) and next prime (107193493753).

It is a super-2 number, since 2×1071934937462 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107193493692 and 107193493701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2357656 + ... + 2402691.

It is an arithmetic number, because the mean of its divisors is an integer number (6048022134).

Almost surely, 2107193493746 is an apocalyptic number.

107193493746 is an abundant number, since it is smaller than the sum of its proper divisors (134727391614).

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

107193493746 is a wasteful number, since it uses less digits than its factorization.

107193493746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760500 (or 4760491 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 107193493746 in words is "one hundred seven billion, one hundred ninety-three million, four hundred ninety-three thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3753 7506 11259 22518 4760347 9520694 14281041 28562082 42843123 85686246 128529369 257058738 385588107 661688233 771176214 1323376466 1985064699 3970129398 5955194097 11910388194 17865582291 35731164582 53596746873 107193493746