Search a number
-
+
70668676620 = 223255914934457
BaseRepresentation
bin100000111010000101…
…1100110111000001100
320202102000120201202100
41001310023212320030
52124212140122440
652244214555100
75051143561113
oct1016413467014
9222360521670
1070668676620
1127a74697783
1211842968a90
136882b3a5a9
1435c5758c7a
151c89197230
hex10742e6e0c

70668676620 has 144 divisors (see below), whose sum is σ = 218189855520. Its totient is φ = 18509011968.

The previous prime is 70668676601. The next prime is 70668676649. The reversal of 70668676620 is 2667686607.

70668676620 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 8 + 6 + 7 + 6 + 620 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15853432 + ... + 15857888.

It is an arithmetic number, because the mean of its divisors is an integer number (1515207330).

Almost surely, 270668676620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70668676620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109094927760).

70668676620 is an abundant number, since it is smaller than the sum of its proper divisors (147521178900).

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

70668676620 is a wasteful number, since it uses less digits than its factorization.

70668676620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 70668676620 in words is "seventy billion, six hundred sixty-eight million, six hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1493 1770 2124 2655 2986 3540 4457 4479 5310 5972 7465 8914 8958 10620 13371 13437 14930 17828 17916 22285 22395 26742 26874 29860 40113 44570 44790 53484 53748 66855 67185 80226 88087 89140 89580 133710 134370 160452 176174 200565 262963 264261 267420 268740 352348 401130 440435 525926 528522 788889 792783 802260 880870 1051852 1057044 1314815 1321305 1577778 1585566 1761740 2366667 2629630 2642610 3155556 3171132 3944445 3963915 4733334 5259260 5285220 6654301 7888890 7927830 9466668 11833335 13308602 15777780 15855660 19962903 23666670 26617204 33271505 39925806 47333340 59888709 66543010 79851612 99814515 119777418 133086020 199629030 239554836 299443545 392603759 399258060 598887090 785207518 1177811277 1197774180 1570415036 1963018795 2355622554 3533433831 3926037590 4711245108 5889056385 7066867662 7852075180 11778112770 14133735324 17667169155 23556225540 35334338310 70668676620