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40547428517688 = 23337675031354901
BaseRepresentation
bin10010011100000101011110…
…00100101100011100111000
312022120022000000021001121020
421032002233010230130320
520303312113200031223
6222123122001142440
711353312035501021
oct1116025704543470
9168508000231536
1040547428517688
1111a13082368924
12466a44392aa20
1319817b57b8691
14a027126d1c48
154a4ae95991e3
hex24e0af12c738

40547428517688 has 128 divisors (see below), whose sum is σ = 105872259064320. Its totient is φ = 12928477478400.

The previous prime is 40547428517681. The next prime is 40547428517719. The reversal of 40547428517688 is 88671582474504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40547428517681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29249038 + ... + 30603938.

It is an arithmetic number, because the mean of its divisors is an integer number (827127023940).

Almost surely, 240547428517688 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 40547428517688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52936129532160).

40547428517688 is an abundant number, since it is smaller than the sum of its proper divisors (65324830546632).

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

40547428517688 is a wasteful number, since it uses less digits than its factorization.

40547428517688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355517 (or 1355513 counting only the distinct ones).

The product of its (nonzero) digits is 481689600, while the sum is 69.

The spelling of 40547428517688 in words is "forty trillion, five hundred forty-seven billion, four hundred twenty-eight million, five hundred seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 67 74 111 134 148 201 222 268 296 402 444 503 536 804 888 1006 1509 1608 2012 2479 3018 4024 4958 6036 7437 9916 12072 14874 18611 19832 29748 33701 37222 55833 59496 67402 74444 101103 111666 134804 148888 202206 223332 269608 404412 446664 808824 1246937 1354901 2493874 2709802 3740811 4064703 4987748 5419604 7481622 8129406 9975496 10839208 14963244 16258812 29926488 32517624 50131337 90778367 100262674 150394011 181556734 200525348 272335101 300788022 363113468 401050696 544670202 601576044 681515203 726226936 1089340404 1203152088 1363030406 2044545609 2178680808 2726060812 3358799579 4089091218 5452121624 6717599158 8178182436 10076398737 13435198316 16356364872 20152797474 25216062511 26870396632 40305594948 45661518601 50432125022 75648187533 80611189896 91323037202 100864250044 136984555803 151296375066 182646074404 201728500088 273969111606 302592750132 365292148808 547938223212 605185500264 1095876446424 1689476188237 3378952376474 5068428564711 6757904752948 10136857129422 13515809505896 20273714258844 40547428517688