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245070070542 = 2321173101167873
BaseRepresentation
bin1110010000111101010…
…0001000001100001110
3212102120100120111021100
43210033110020030032
513003400414224132
6304330022043530
723464031141403
oct3441724101416
9772510514240
10245070070542
1194a2a736290
123b5b55795a6
131a1578c4c7b
14bc0bb902aa
15659510437c
hex390f50830e

245070070542 has 96 divisors (see below), whose sum is σ = 593008861536. Its totient is φ = 72520704000.

The previous prime is 245070070529. The next prime is 245070070547.

It is a happy number.

245070070542 is a `hidden beast` number, since 2 + 45 + 0 + 7 + 0 + 0 + 70 + 542 = 666.

245070070542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 245070070497 and 245070070506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245070070547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1375918 + ... + 1543790.

It is an arithmetic number, because the mean of its divisors is an integer number (6177175641).

Almost surely, 2245070070542 is an apocalyptic number.

245070070542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245070070542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296504430768).

245070070542 is an abundant number, since it is smaller than the sum of its proper divisors (347938790994).

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

245070070542 is a wasteful number, since it uses less digits than its factorization.

245070070542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168066 (or 168063 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 245070070542 in words is "two hundred forty-five billion, seventy million, seventy thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 101 146 198 202 219 303 438 606 657 803 909 1111 1314 1606 1818 2222 2409 3333 4818 6666 7227 7373 9999 14454 14746 19998 22119 44238 66357 81103 132714 162206 167873 243309 335746 486618 503619 729927 1007238 1459854 1510857 1846603 3021714 3693206 5539809 11079618 12254729 16619427 16955173 24509458 33238854 33910346 36764187 50865519 73528374 101731038 110292561 134802019 152596557 186506903 220585122 269604038 305193114 373013806 404406057 559520709 808812114 1119041418 1213218171 1237727629 1678562127 2426436342 2475455258 3357124254 3713182887 7426365774 11139548661 13615003919 22279097322 27230007838 40845011757 81690023514 122535035271 245070070542