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4734497907792 = 2432337417723357
BaseRepresentation
bin100010011100101011000…
…0100001110010001010000
3121202121120022002101120200
41010321112010032101100
51110032222431022132
614022555345135200
7666025162133232
oct104712604162120
917677508071520
104734497907792
111565986705a64
126456b192a500
132845cc450b63
141252181b2252
158324d9b4d7c
hex44e5610e450

4734497907792 has 120 divisors (see below), whose sum is σ = 13293086664936. Its totient is φ = 1573038931968.

The previous prime is 4734497907787. The next prime is 4734497907823. The reversal of 4734497907792 is 2977097944374.

4734497907792 is a `hidden beast` number, since 4 + 7 + 3 + 449 + 7 + 90 + 7 + 7 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1938566120976 + 2795931786816 = 1392324^2 + 1672104^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4734497907792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202689778 + ... + 202713134.

Almost surely, 24734497907792 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 4734497907792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646543332468).

4734497907792 is an abundant number, since it is smaller than the sum of its proper divisors (8558588757144).

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

4734497907792 is a wasteful number, since it uses less digits than its factorization.

4734497907792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27885 (or 27876 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 4734497907792 in words is "four trillion, seven hundred thirty-four billion, four hundred ninety-seven million, nine hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 4177 5392 6066 8088 8354 12132 12531 16176 16708 23357 24264 25062 33416 37593 46714 48528 50124 66832 70071 75186 93428 100248 140142 150372 186856 200496 210213 280284 300744 373712 420426 560568 601488 840852 1121136 1407649 1681704 2815298 3363408 4222947 5630596 7871309 8445894 11261192 12668841 15742618 16891788 22522384 23613927 25337682 31485236 33783576 47227854 50675364 62970472 67567152 70841781 94455708 97562189 101350728 125940944 141683562 188911416 195124378 202701456 283367124 292686567 377822832 390248756 566734248 585373134 780497512 878059701 1133468496 1170746268 1560995024 1756119402 2341492536 3512238804 4682985072 7024477608 14048955216 32878457693 65756915386 98635373079 131513830772 197270746158 263027661544 295906119237 394541492316 526055323088 591812238474 789082984632 1183624476948 1578165969264 2367248953896 4734497907792