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45472355327454 = 231159223263199109
BaseRepresentation
bin10100101011011010110111…
…00101100001110111011110
312222000010002121220222110020
422111231123211201313132
521430004340430434304
6240413413414453010
712402161232614346
oct1225553345416736
9188003077828406
1045472355327454
1113541799136410
125124a1b964166
131c4b04238ba93
14b32c3378bd26
1553cc910e75d9
hex295b5b961dde

45472355327454 has 128 divisors (see below), whose sum is σ = 101732275814400. Its totient is φ = 13433864545920.

The previous prime is 45472355327423. The next prime is 45472355327491.

45472355327454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×454723553274542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228279652 + ... + 228478760.

It is an arithmetic number, because the mean of its divisors is an integer number (794783404800).

Almost surely, 245472355327454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45472355327454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866137907200).

45472355327454 is an abundant number, since it is smaller than the sum of its proper divisors (56259920486946).

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

45472355327454 is a wasteful number, since it uses less digits than its factorization.

45472355327454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199670.

The product of its digits is 282240000, while the sum is 60.

The spelling of 45472355327454 in words is "forty-five trillion, four hundred seventy-two billion, three hundred fifty-five million, three hundred twenty-seven thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 223 263 354 446 526 649 669 789 1298 1338 1578 1947 2453 2893 3894 4906 5786 7359 8679 13157 14718 15517 17358 26314 31034 39471 46551 58649 78942 93102 117298 144727 170687 175947 199109 289454 341374 351894 398218 434181 512061 597327 645139 868362 1024122 1194654 1290278 1935417 2190199 3460291 3870834 4380398 6570597 6920582 10380873 11747431 13141194 20761746 23494862 35242293 38063201 44401307 52365667 70484586 76126402 88802614 104731334 114189603 129221741 133203921 157097001 228379206 258443482 266407842 314194002 387665223 488414377 576022337 775330446 976828754 1152044674 1465243131 1728067011 2619677113 2930486262 3089574353 3456134022 5239354226 6179148706 7859031339 9268723059 11677543741 15718062678 18537446118 23355087482 28816448243 33985317883 35032631223 57632896486 67970635766 70065262446 86449344729 101955953649 128452981151 172898689458 203911907298 256905962302 385358943453 688975080719 770717886906 1377950161438 2066925242157 4133850484314 7578725887909 15157451775818 22736177663727 45472355327454