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977197968 = 243219577619
BaseRepresentation
bin111010001111101…
…101101110010000
32112002202210121100
4322033231232100
54000130313333
6240544424400
733134021445
oct7217555620
92462683540
10977197968
1146166a32a
12233318100
131275b5566
1493ad39cc
155abca213
hex3a3edb90

977197968 has 120 divisors (see below), whose sum is σ = 2888381600. Its totient is φ = 307556352.

The previous prime is 977197951. The next prime is 977197973. The reversal of 977197968 is 869791779.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578363 + ... + 1578981.

Almost surely, 2977197968 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 977197968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444190800).

977197968 is an abundant number, since it is smaller than the sum of its proper divisors (1911183632).

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

977197968 is a wasteful number, since it uses less digits than its factorization.

977197968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1220 counting only the distinct ones).

The product of its digits is 12002256, while the sum is 63.

The square root of 977197968 is about 31260.1658344929. The cubic root of 977197968 is about 992.3408092344.

It can be divided in two parts, 97 and 7197968, that multiplied together give a palindrome (698202896).

The spelling of 977197968 in words is "nine hundred seventy-seven million, one hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 577 619 684 912 1154 1238 1368 1731 1857 2308 2476 2736 3462 3714 4616 4952 5193 5571 6924 7428 9232 9904 10386 10963 11142 11761 13848 14856 20772 21926 22284 23522 27696 29712 32889 35283 41544 43852 44568 47044 65778 70566 83088 87704 89136 94088 98667 105849 131556 141132 175408 188176 197334 211698 263112 282264 357163 394668 423396 526224 564528 714326 789336 846792 1071489 1428652 1578672 1693584 2142978 2857304 3214467 4285956 5714608 6428934 6786097 8571912 12857868 13572194 17143824 20358291 25715736 27144388 40716582 51431472 54288776 61074873 81433164 108577552 122149746 162866328 244299492 325732656 488598984 977197968