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4006539140592 = 2431715169147057
BaseRepresentation
bin111010010011011000010…
…101111001110111110000
3112012000120121020110110110
4322103120111321313300
51011120343004444332
612304324554301320
7562314526534002
oct72233025716760
915160517213413
104006539140592
11130518899279a
125485b1a27840
13230a797a1bb1
14dbcbb9b2372
156e3450dd4cc
hex3a4d8579df0

4006539140592 has 160 divisors (see below), whose sum is σ = 11047839035904. Its totient is φ = 1246795776000.

The previous prime is 4006539140533. The next prime is 4006539140621. The reversal of 4006539140592 is 2950419356004.

It is a super-2 number, since 2×40065391405922 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85118728 + ... + 85165784.

Almost surely, 24006539140592 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 4006539140592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523919517952).

4006539140592 is an abundant number, since it is smaller than the sum of its proper divisors (7041299895312).

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

4006539140592 is a wasteful number, since it uses less digits than its factorization.

4006539140592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47927 (or 47921 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 4006539140592 in words is "four trillion, six billion, five hundred thirty-nine million, one hundred forty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 151 204 272 302 408 453 604 691 816 906 1208 1382 1812 2073 2416 2567 2764 3624 4146 5134 5528 7248 7701 8292 10268 11056 11747 15402 16584 20536 23494 30804 33168 35241 41072 46988 47057 61608 70482 93976 94114 104341 123216 140964 141171 187952 188228 208682 281928 282342 313023 376456 417364 563856 564684 626046 752912 799969 834728 1129368 1252092 1599938 1669456 1773797 2258736 2399907 2504184 3199876 3547594 4799814 5008368 5321391 6399752 7095188 7105607 9599628 10642782 12799504 14190376 14211214 19199256 21285564 21316821 28380752 28422428 32516387 38398512 42571128 42633642 56844856 65032774 85142256 85267284 97549161 113689712 120795319 130065548 170534568 195098322 241590638 260131096 341069136 362385957 390196644 483181276 520262192 552778579 724771914 780393288 966362552 1105557158 1449543828 1560786576 1658335737 1932725104 2211114316 2899087656 3316671474 4422228632 4909974437 5798175312 6633342948 8844457264 9819948874 13266685896 14729923311 19639897748 26533371792 29459846622 39279795496 58919693244 78559590992 83469565429 117839386488 166939130858 235678772976 250408696287 333878261716 500817392574 667756523432 1001634785148 1335513046864 2003269570296 4006539140592