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34878550564 = 221121326532
BaseRepresentation
bin100000011110111011…
…000111001000100100
310100000202010221122001
4200132323013020210
51032412402104224
624004544215044
72343215534224
oct403673071044
9110022127561
1034878550564
111387903a300
12691490a484
13339b010100
14198c334084
15d92090544
hex81eec7224

34878550564 has 81 divisors (see below), whose sum is σ = 72760004499. Its totient is φ = 14611945920.

The previous prime is 34878550559. The next prime is 34878550571. The reversal of 34878550564 is 46505587843.

It is a happy number.

The square root of 34878550564 is 186758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13539184164 + 21339366400 = 116358^2 + 146080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53412462 + ... + 53413114.

Almost surely, 234878550564 is an apocalyptic number.

34878550564 is the 186758-th square number.

It is an amenable number.

34878550564 is an abundant number, since it is smaller than the sum of its proper divisors (37881453935).

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

34878550564 is a wasteful number, since it uses less digits than its factorization.

34878550564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 55.

The spelling of 34878550564 in words is "thirty-four billion, eight hundred seventy-eight million, five hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 653 676 1306 1573 1859 2612 3146 3718 6292 7183 7436 8489 14366 16978 20449 28732 33956 40898 79013 81796 93379 110357 158026 186758 220714 316052 373516 426409 441428 852818 1027169 1213927 1705636 2054338 2427854 4108676 4690499 4855708 5543317 9380998 11086634 13353197 18761996 22173268 26706394 51595489 53412788 60976487 72063121 103190978 121952974 144126242 206381956 243905948 288252484 670741357 792694331 1341482714 1585388662 2682965428 3170777324 8719637641 17439275282 34878550564