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4770914816 = 29172941461
BaseRepresentation
bin1000111000101111…
…00110001000000000
3110022111022120202202
410130113212020000
534232323233231
62105225132332
7226141051433
oct43427461000
913274276682
104770914816
112029069a08
12b1192a0a8
135b055cb25
143338ab81a
151cdca45cb
hex11c5e6200

4770914816 has 160 divisors (see below), whose sum is σ = 10719157680. Its totient is φ = 2110259200.

The previous prime is 4770914803. The next prime is 4770914821. The reversal of 4770914816 is 6184190774.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1395769600 + 3375145216 = 37360^2 + 58096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10348826 + ... + 10349286.

Almost surely, 24770914816 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 4770914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359578840).

4770914816 is an abundant number, since it is smaller than the sum of its proper divisors (5948242864).

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

4770914816 is a wasteful number, since it uses less digits than its factorization.

4770914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 4770914816 is about 69071.8091264446. The cubic root of 4770914816 is about 1683.4512874986.

The spelling of 4770914816 in words is "four billion, seven hundred seventy million, nine hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 41 58 64 68 82 116 128 136 164 232 256 272 328 461 464 493 512 544 656 697 922 928 986 1088 1189 1312 1394 1844 1856 1972 2176 2378 2624 2788 3688 3712 3944 4352 4756 5248 5576 7376 7424 7837 7888 8704 9512 10496 11152 13369 14752 14848 15674 15776 18901 19024 20213 20992 22304 26738 29504 31348 31552 37802 38048 40426 44608 53476 59008 62696 63104 75604 76096 80852 89216 106952 118016 125392 126208 151208 152192 161704 178432 213904 227273 236032 250784 252416 302416 304384 321317 323408 356864 427808 454546 501568 548129 604832 608768 642634 646816 855616 909092 1003136 1096258 1209664 1285268 1293632 1711232 1818184 2006272 2192516 2419328 2570536 2587264 3422464 3636368 4012544 4385032 4838656 5141072 5174528 6844928 7272736 8770064 9318193 9677312 10282144 10349056 14545472 17540128 18636386 20564288 29090944 35080256 37272772 41128576 58181888 70160512 74545544 82257152 116363776 140321024 149091088 164514304 280642048 298182176 596364352 1192728704 2385457408 4770914816